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Finding the Third Proportional to 152,452.31 and 223,210.97

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Solution

The third proportional to 152,452.31 and 223,210.97 is: 326,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,452.31 : 223,210.97 = 223,210.97 : x
  2. Step 2: Convert to fraction form
    152,452.31/223,210.97 = 223,210.97/x
  3. Step 3: Cross multiply
    152,452.31x = 223,210.97 × 223,210.97
  4. Step 4: Simplify right side
    152,452.31x = 49,823,136,570.31
  5. Step 5: Solve for x
    x = 49,823,136,570.31/152,452.31
  6. Step 6: Final answer
    x = 326,811.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.